Quantum oscillation beyond the quantum limit in pseudospin Dirac materials

Abstract

Recently, many unexpected fine structures in electric, magnetic, and thermoelectric responses at extremely magnetic fields in topological materials have attracted tremendous interest. We propose a new mechanism of quantum oscillation beyond the strong-field quantum limit for Dirac fermions. The amplitude of the oscillation is far larger than the usual Shubnikov--de Haas oscillation. The oscillation tends to be periodic in the magnetic field B, instead of 1/B. The period of the oscillation does not depend on the Fermi energy. These behaviors cannot be described by the famous Lifshitz-Kosevich formula. The oscillation arises from a mechanism that we refer to as the inversion of the lowest Landau level, resulted from the competition between the pseudospin Dirac-type Landau levels and real-spin Zeeman spitting beyond the quantum limit. This inversion gives rise to the oscillation of the Fermi energy and conductivity at extremely large magnetic fields. This mechanism will be useful for understanding the unexpected fine structures observed in the strong-field quantum limit in Dirac materials.

Accepted in Physical Review B: Rapid Communications

References in corpus (8)

• The electronic properties of graphene
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Weyl semimetals from noncentrosymmetric topological insulators
• Topological electronic structure and Weyl semimetal in the TlBiSe${}_2$ class of semiconductors
• Topological Weyl Semi-metal from a Lattice Model
• Breakdown of the Chiral Anomaly in Weyl Semimetals in a Strong Magnetic Field
• Thermoelectric Hall conductivity and figure of merit in Dirac/Weyl materials
• Modern theory of magnetic breakdown